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math.SG2004
The Szego kernel of a symplectic quotient
Roberto Paoletti
Suppose a compact Lie group acts on a polarized complex projective manifold (M,L). Under favorable circumstances, the Hilbert-Mumford quotient for the action of the complexified gr…
math.SG2003
Moment maps and equivariant Szego kernels
Roberto Paoletti
Suppose given an Hamiltonian action of a compact semisimple Lie group on a polarized complex projective manifold . We study by means of microlocal techniques the local and g…
math.SG2001
Szego Kernels and Finite Group Actions
Roberto Paoletti
In the context of almost complex quantization, a natural generalization of algebro-geometric linear series on a compact symplectic manifold has been proposed. Here we suppose given…